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Finding the Fourth Proportional to 419.52, 624.16 and 411.32

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Solution

The fourth proportional to 419.52, 624.16 and 411.32 is: 611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.52 : 624.16 = 411.32 : x
  2. Step 2: Convert to fraction form
    419.52/624.16 = 411.32/x
  3. Step 3: Cross multiply
    419.52x = 624.16 × 411.32
  4. Step 4: Simplify right side
    419.52x = 256,729.49
  5. Step 5: Solve for x
    x = 256,729.49/419.52
  6. Step 6: Final answer
    x = 611.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.